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11020242420 = 22325117197741
BaseRepresentation
bin10100100001101101…
…11000110111110100
31001110000112022121200
422100312320313310
5140032140224140
65021310012500
7540043341435
oct122066706764
931400468550
1011020242420
114745704270
1221767a7130
131068194205
1476785d48c
1544773c030
hex290db8df4

11020242420 has 144 divisors (see below), whose sum is σ = 36522420480. Its totient is φ = 2667513600.

The previous prime is 11020242349. The next prime is 11020242437. The reversal of 11020242420 is 2424202011.

11020242420 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 0 + 242 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11020242393 and 11020242402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419750 + ... + 1427490.

It is an arithmetic number, because the mean of its divisors is an integer number (253627920).

Almost surely, 211020242420 is an apocalyptic number.

11020242420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18261210240).

11020242420 is an abundant number, since it is smaller than the sum of its proper divisors (25502178060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11020242420 is a wasteful number, since it uses less digits than its factorization.

11020242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8481 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11020242420 its reverse (2424202011), we get a palindrome (13444444431).

The spelling of 11020242420 in words is "eleven billion, twenty million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 719 990 1438 1980 2157 2876 3595 4314 6471 7190 7741 7909 8628 10785 12942 14380 15482 15818 21570 23223 23727 25884 30964 31636 32355 38705 39545 43140 46446 47454 64710 69669 71181 77410 79090 85151 92892 94908 116115 118635 129420 139338 142362 154820 158180 170302 232230 237270 255453 278676 284724 340604 348345 355905 425755 464460 474540 510906 696690 711810 766359 851510 1021812 1277265 1393380 1423620 1532718 1703020 2554530 3065436 3831795 5109060 5565779 7663590 11131558 15327180 16697337 22263116 27828895 33394674 50092011 55657790 61223569 66789348 83486685 100184022 111315580 122447138 166973370 183670707 200368044 244894276 250460055 306117845 333946740 367341414 500920110 551012121 612235690 734682828 918353535 1001840220 1102024242 1224471380 1836707070 2204048484 2755060605 3673414140 5510121210 11020242420